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Homogenization of multi-phase composites based on a revisited formulation of the multi-coated inclusion problem

Abstract : In this work, the effective elastic properties of composite materials with multi-coated reinforcements are estimated by a new formulation of the multi-inclusion model based on Green's functions technique and integral equation which gives the local strain and stress fields through strain concentration equations in each phase of the composite-inclusion. The effective behavior of multi-coated inclusion-reinforced material is determined within a `(N+1)-phase' Generalized Self-Consistent Scheme. To assess the present model's reliability, some comparisons with other micromechanical models and exact solutions are presented. The model is applied to two-phase and three-phase materials and the results are compared to exact analytical solutions for the case of spherical inclusion and isotropic elastic behavior. Some results for three-phase materials are given regarding the influence of constituents' volume fraction. Furthermore, the effects of the mechanical contrast between phases and the shape of inclusions are studied.
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https://hal.univ-lorraine.fr/hal-01515208
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Submitted on : Thursday, April 27, 2017 - 9:59:13 AM
Last modification on : Wednesday, March 3, 2021 - 2:54:05 PM

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F. Dinzart, H. Sabar, Stephane Berbenni. Homogenization of multi-phase composites based on a revisited formulation of the multi-coated inclusion problem. International Journal of Engineering Science, Elsevier, 2016, 100, pp.136-151. ⟨10.1016/j.ijengsci.2015.12.001⟩. ⟨hal-01515208⟩

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